Modular invariants and isogenies
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Publication:4629109
DOI10.1142/S1793042119500295zbMath1446.11126arXiv1611.01094OpenAlexW3103116726WikidataQ129160570 ScholiaQ129160570MaRDI QIDQ4629109
Publication date: 25 March 2019
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.01094
Elliptic curves over global fields (11G05) Heights (11G50) Isogeny (14K02) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Moduli, classification: analytic theory; relations with modular forms (14J15)
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Cites Work
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- Estimating isogenies on elliptic curves
- Calculus on arithmetic surfaces
- On the Arakelov theory of elliptic curves
- Class polynomials for nonholomorphic modular functions
- An explicit height bound for the classical modular polynomial
- Finiteness theorems for abelian varieties over number fields.
- Quelques résultats de transcendance liés à l'invariant modulaire j. (Some transcendence results related to the modular invariant j)
- Period theorem and minimal degrees of isogenies
- On the coefficients of the transformation polynomials for the elliptic modular function
- Hauteur des correspondances de Hecke
- Class Invariants by the CRT Method
- Ramanujan and the Modular j-Invariant